Number of edges per vertex in remesh
The Remesh modifier only generates quads.
If you need proof, select your object and with the remesh modifier applied, run this script.

import bpy

for polygon in bpy.context.object.data.polygons:
    print(len(polygon.vertices))


It will print out the number of vertices for each face in the selected object.

Even for areas that look like triangles, they really are quads just with vertices doubled up. In this gif, I move two vertices that are doubled up in a mesh with the remesh modifier applied.